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Crippling Load given Moment at Section if Both Ends of Column are Hinged Calculator

Crippling Load Formula:

\[ P = -\frac{M_t}{\delta} \]

Nm
m
%

1. What is Crippling Load given Moment at Section?

Definition: This calculator determines the load at which a hinged column will buckle (cripple) based on the moment and deflection at a section.

Purpose: It helps structural engineers analyze column stability and predict failure points in hinged columns.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = -\frac{M_t}{\delta} \]

Where:

  • \( P \) — Column Crippling Load (N)
  • \( M_t \) — Moment of Section (Nm)
  • \( \delta \) — Deflection at Section (m)

Explanation: The negative sign indicates that the crippling load acts in the opposite direction to the moment causing deflection.

3. Importance of Crippling Load Calculation

Details: Accurate calculation ensures structural safety by preventing column buckling, which can lead to catastrophic failures.

4. Using the Calculator

Tips: Enter the moment (Nm), deflection (m), and optional tolerance (±5%). Deflection cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is the load negative in the formula?
A: The negative sign indicates the crippling load opposes the bending moment that causes deflection.

Q2: What does a tolerance percentage do?
A: It adjusts the calculated load by ±% to account for safety factors or material variations.

Q3: When would deflection be zero?
A: Deflection should never be zero in this calculation as it would lead to division by zero.

Q4: How does hinged vs fixed ends affect this?
A: This calculator specifically applies to columns with both ends hinged (free to rotate).

Q5: What units should I use?
A: Use consistent SI units - Newtons for force, Newton-meters for moment, and meters for deflection.

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